Results 21 to 30 of about 1,008 (122)
A New Representation for Srivastava’s λ-Generalized Hurwitz-Lerch Zeta Functions [PDF]
Symmetry, 2018 Taking inspiration principally from some of the latest research, we develop a new series representation for the λ-generalized Hurwitz-Lerch zeta functions. This representation led to important new results. The Fourier transform played a foundational role in this work.
Aifa S Tassaddiq
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Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function
MathematicsThe findings of this study are connected with geometric function theory and were acquired using subordination-based techniques in conjunction with the Hurwitz–Lerch Zeta function.
Ekram E. Ali +3 more
doaj +2 more sources
Partial Sums of Generalized Class of Analytic Functions Involving Hurwitz-Lerch Zeta Function [PDF]
Abstract and Applied Analysis, 2011 Let fn(z)=z+∑k=2nakzk be the sequence of partial sums of the analytic function f(z)=z+∑k=2∞akzk. In this paper, we determine sharp lower bounds for ℜ{f(z)/fn(z)}, ℜ{fn(z)/f(z)}, ℜ{f′(z)/fn′(z)}, and ℜ{fn′(z)/f′(z)}.
G. Murugusundaramoorthy +2 more
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Aspects of the screw function corresponding to the Riemann zeta‐function
Journal of the London Mathematical Society, Volume 108, Issue 4, Page 1448-1487, October 2023., 2023 Abstract We introduce a screw function corresponding to the Riemann zeta‐function and study its properties from various aspects. Typical results are several equivalent conditions for the Riemann hypothesis in terms of the screw function. One of them can be considered an analog of so‐called Weil's positivity or Li's criterion.
Masatoshi Suzuki
wiley +1 more source
The Mellin Transform of Logarithmic and Rational Quotient Function in terms of the Lerch Function
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 Upon reading the famous book on integral transforms volume II by Erdeyli et al., we encounter a formula which we use to derive a Mellin transform given by ∫0∞xm−1logkax/β2+x2γ+xdx, where the parameters a, k, β, and γ are general complex numbers. This Mellin transform will be derived in terms of the Lerch function and is not listed in current literature
Robert Reynolds +2 more
wiley +1 more source
Note on the Hurwitz–Lerch Zeta Function of Two Variables [PDF]
Symmetry, 2020 A number of generalized Hurwitz–Lerch zeta functions have been presented and investigated. In this study, by choosing a known extended Hurwitz–Lerch zeta function of two variables, which has been very recently presented, in a systematic way, we propose to establish certain formulas and representations for this extended Hurwitz–Lerch zeta function such ...
Junesang Choi +3 more
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A family of incomplete Hurwitz-Lerch zeta functions of two variables [PDF]
Miskolc Mathematical Notes, 2020 Inspired essentially by the work [H. M. Srivastava, M. A. Chaudhry and R. P. Agarwal [The incomplete Pochhammer symbols and their applications to hypergeometric and related functions, Integral Transforms Spec. Funct. 23 (2012), 659-683] (see [16])], we introduce the families of the incomplete Hurwitz-Lerch Zeta functions of two variables.
Srivastava, H. M. +2 more
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مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
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Integral expressions for Hilbert-type infinite multilinear form and related multiple Hurwitz-Lerch Zeta functions [PDF]
, 2012 The article deals with different kinds integral expressions concerning multiple Hurwitz-Lerch Zeta function (introduced originally by Barnes ), Hilbert-type infinite multilinear form and its power series extension.
Ram K. Saxena, Tibor Pogany
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Twisted Eisenstein series, cotangent‐zeta sums, and quantum modular forms
Transactions of the London Mathematical Society, Volume 7, Issue 1, Page 33-48, December 2020., 2020 Abstract We define twisted Eisenstein series Es±(h,k;τ) for s∈C, and show how their associated period functions, initially defined on the upper half complex plane H, have analytic continuation to all of C′:=C∖R⩽0. We also use this result, as well as properties of various zeta functions, to show that certain cotangent‐zeta sums behave like quantum ...
Amanda Folsom
wiley +1 more source